Question

10. The total surface area of the hemisphere of volume 19404 cu. cm is
(1) 4158 sq. cm
(%) 2772 sq. em
(3) 5544 sq. cm
(4) 4258 sq. cm​

Answer 1

Answer:

we have,

Volume of hemisphere= 19404 cu.cm

we know that ,

Volume of hemisphere=

$\binom{2}{3} \pi \: r {}^{3}$

=19404cu.cm

$\binom{2}{3} \binom{22}{7} {r}^{3}$

=19404cu.cm

$r {}^{3}$

= (19404×3×7)/(2×22)cu.cm

= (9702×3×7)/22cu.cm

= (4851×3×7)/11cu.cm

= (441×3×7)cu.cm

= 7×7×7×3×3×3cu.cm

$= 7 {}^{3} \times 3 {}^{3} cm {}^{3}$

$= (7 \times 3cm ) {}^{3}$

=> r=7×3cm=21cm

Total surface area=

$3 \times 22 \div 7 \times 21 \times 21sq.cm$

=3×22/7×21×21sq.cm

=66×3×21sq.cm

=66×63 sq.cm

4158 sq.cm